Resistance and eigenstates in a tight-binding model with quasiperiodic potential

Year: 1987

Authors: Schneider T., Politi A., Würtz D.

Autors Affiliation: IBM Research Division, Zurich Research Laboratory, Säumerstrasse 4, Ch-8803 Rüschlikon, Switzerland
Istituto Nazionale di Ottica, Largo E. Fermi 6, 1-50125 Firenze, Italy
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900 Heidelberg, FRG

Abstract: A one-dimensional tight-binding model on a spatially periodic lattice of length N, with quasiperiodic potential strength given by the Fibonacci sequence, is investigated numerically. We elucidate theN-dependence of the resistence and the nature of the wave functions. For energies belonging to the spectrum, the results provide strong evidence for algebraic localization and algebraic N-dependence of the resistance, with a distribution of exponents. Implications for quantum chaos are also discussed.

Journal/Review: ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER

Volume: 66      Pages from: 469  to: 473

KeyWords: quantum chaos
DOI: 10.1007/BF01303896

Citations: 48
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